GCD of 819, 420, 882, 437 Calculator

Given Input numbers are 819, 420, 882, 437

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Greatest Common Divisior

We found the divisors of 819, 420, 882, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 420, 882, 437 is 1.

Therefore, GCD of numbers 819, 420, 882, 437 is 1

Given Input Data is 819, 420, 882, 437

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 437 is 19 x 23

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(819, 420) = 16380

GCD(819, 420) = ( 819 x 420 ) / 16380

GCD(819, 420) = 343980 / 16380

GCD(819, 420) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 882

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(21, 882) = 882

GCD(21, 882) = ( 21 x 882 ) / 882

GCD(21, 882) = 18522 / 882

GCD(21, 882) = 21

Step3:

Here we consider the GCD from the above i.e. 21 as first number and the next as 437

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(21, 437) = 9177

GCD(21, 437) = ( 21 x 437 ) / 9177

GCD(21, 437) = 9177 / 9177

GCD(21, 437) = 1

GCD of 819, 420, 882, 437 is 1

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• GCD of 488, 453, 495, 983
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1. What is the GCD of 819, 420, 882, 437?

GCD of 819, 420, 882, 437 is 1

2. Where do I get the detailed procedure to find GCD of 819, 420, 882, 437?

You can find a detailed procedure to find GCD of 819, 420, 882, 437 on our page.

3. How to find GCD of 819, 420, 882, 437 on a calculator?

You can find the GCD of 819, 420, 882, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.